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Title: | Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements |
Authors: | Wang, Z Lam, J Ma, L Bo, Y Guo, Z |
Keywords: | Nonlinear systems;Stochastic systems;Dissipative control;Variance-constrained control;Degraded measurements |
Issue Date: | 2011 |
Publisher: | Elsevier |
Citation: | Journal of Mathematical Analysis and Applications, 377(2): 645-658, May 2011 |
Abstract: | This paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm. |
Description: | The official published version of the article can be obtained from the link below. |
URI: | http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WK2-51HD73K-1&_user=545641&_coverDate=05%2F15%2F2011&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1630108736&_rerunOrigin=google&_acct=C000027918&_version=1&_urlVersion=0&_userid=545641&md5=d62ca4ef66225e85685f71639d7e602d&searchtype=a http://bura.brunel.ac.uk/handle/2438/4715 |
DOI: | http://dx.doi.org/10.1016/j.jmaa.2010.11.038 |
ISSN: | 0022-247X |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
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